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ap-mixed-equation-hard MCQ Questions for Class 10

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3 questions tagged with ap-mixed-equation-hard.

Question 1/3 Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 66

यदि समान्तर श्रेणी में \(a_4=20\) और \(a_9+a_{14}=160\) है तो \(a_{28}\) क्या होगा?

If in an AP \(a_4=20\) and \(a_9+a_{14}=160\), what is \(a_{28}\)?

Explanation opens after your attempt
Correct Answer

B. (176)

Step 1

Concept

(a_9+a_{14}=\(a_4+5d\)+\(a_4+10d\)=40+15d=160), so (d=8). \(a_{28}=20+24d=212\).

Step 2

Why this answer is correct

The correct answer is B. (176). (a_9+a_{14}=\(a_4+5d\)+\(a_4+10d\)=40+15d=160), so (d=8). \(a_{28}=20+24d=212\).

Step 3

Exam Tip

(a_9+a_{14}=\(a_4+5d\)+\(a_4+10d\)=40+15d=160) इसलिए (d=8)। \(a_{28}=20+24d=212\)।

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Question 2/3 Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि समान्तर श्रेणी में \(a_3=14\) और \(a_7+a_{11}=100\) है तो \(a_{19}\) क्या होगा?

If in an AP \(a_3=14\) and \(a_7+a_{11}=100\), what is \(a_{19}\)?

Explanation opens after your attempt
Correct Answer

B. (86)

Step 1

Concept

(a_7+a_{11}=\(a_3+4d\)+\(a_3+8d\)=28+12d=100), so (d=6). \(a_{19}=14+16d=110\).

Step 2

Why this answer is correct

The correct answer is B. (86). (a_7+a_{11}=\(a_3+4d\)+\(a_3+8d\)=28+12d=100), so (d=6). \(a_{19}=14+16d=110\).

Step 3

Exam Tip

(a_7+a_{11}=\(a_3+4d\)+\(a_3+8d\)=28+12d=100) इसलिए (d=6)। \(a_{19}=14+16d=110\)।

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Question 3/3 Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

यदि AP में \(a_{2}=9\) और \(a_{5}+a_{8}=72\) है तो \(a_{14}\) क्या होगा?

If in an AP \(a_2=9\) and \(a_5+a_8=72\), what is \(a_{14}\)?

Explanation opens after your attempt
Correct Answer

C. (69)

Step 1

Concept

(a_5+a_8=\(a_2+3d\)+\(a_2+6d\)=18+9d=72), so (d=6). \(a_{14}=9+12d=81\).

Step 2

Why this answer is correct

The correct answer is C. (69). (a_5+a_8=\(a_2+3d\)+\(a_2+6d\)=18+9d=72), so (d=6). \(a_{14}=9+12d=81\).

Step 3

Exam Tip

(a_5+a_8=\(a_2+3d\)+\(a_2+6d\)=18+9d=72) इसलिए (d=6)। \(a_{14}=9+12d=81\)।

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